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Finding the Fourth Proportional to 584.28, 876.56 and 199.52

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Solution

The fourth proportional to 584.28, 876.56 and 199.52 is: 299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 876.56 = 199.52 : x
  2. Step 2: Convert to fraction form
    584.28/876.56 = 199.52/x
  3. Step 3: Cross multiply
    584.28x = 876.56 × 199.52
  4. Step 4: Simplify right side
    584.28x = 174,891.25
  5. Step 5: Solve for x
    x = 174,891.25/584.28
  6. Step 6: Final answer
    x = 299.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.